Answer:
Option A. 42°
Explanation:
It is given in the question line segment XY is tangent to the circle Z at point U.
The measure of arc UV = 84° and we have to find the value of ∠YUV.
From tangent and chord theorem we know that measurement of the angle between tangent and chord is half of the measurement of the intercepted arc.
Therefore ∠YUV = (84°) ÷ 2 = 42°
Answer is Option A.42°